Intermediate gapless phase and topological phase transition of Kitaev model in a uniform magnetic field

Abstract

We study the Kitaev spin liquid (KSL) in a [001] magnetic field employing the mean field theory (MFT/MF) in the Majorana fermion representation. The MF Hamiltonian of the system has the Bogoliubov de-Gennes (BdG) form of a 2D Weyl superconductor. We discover a robust gapless regime in intermediate magnetic field for both gapless and gapped AFM KSL with Jx = Jy before the system is polarized in high magnetic field. A topological phase transition (PT) connecting two gapless phases with nodal lines takes place at a critical magnetic field hc1 in this regime. While the nodal lines at hc1 is protected by the mirror symmetry with Jx = Jy and disappear at Jx 6= Jy with a gap opening near the critical field, the nodal points at E = 0 can exist at intermediate fields even without mirror symmetry. We reveal that the phase evolution of the KSL in the magnetic field is driven by the competition between the magnetic field and the particle-hole (p-h) asymmetry of the normal state of the BdG Hamiltonian, which results in the robust intermediate gapless phase for AFM KSL. For FM KSL, there is no intermediate PT before polarization. The above phase diagrams are confirmed by dynamical MFT (DMFT) results.

arXiv commentpublished version

References in corpus (17)

• Anyons in an exactly solved model and beyond
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Dirac and Weyl Superconductors in Three Dimensions
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Magnetic Excitations and Continuum of a Field-Induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Cross-Correlated Responses of Topological Superconductors and Superfluids
• Berry Phase and Pseudospin Winding Number in Bilayer Graphene
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Ultralow-temperature thermal conductivity of the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$ across the field-induced phase transition
• Unconventional spin dynamics in the honeycomb-lattice material $\alpha$-RuCl${}_3$: high-field ESR studies
• Successive Majorana Topological Transitions Driven by a Magnetic Field in the Kitaev Model
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Power-law spin correlations in a perturbed honeycomb spin model

Cited by in corpus (41)

• Hunting Majorana Fermions in Kitaev Magnets
• Microscopic mechanism for higher-spin Kitaev model
• Theory of the field-revealed Kitaev spin liquid
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Heisenberg-Kitaev physics in magnetic fields
• Successive Majorana Topological Transitions Driven by a Magnetic Field in the Kitaev Model
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• Multi-critical topological transition at quantum criticality
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Dynamical Mean-Field Theory of Strongly Correlated Electron Systems
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Role of Majorana fermions in spin transport of anisotropic Kitaev model
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model
• Correlation effects on the magnetization process of the Kitaev model
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Dimensional reduction of Kitaev spin liquid at quantum criticality
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Electric polarization near vortices in the extended Kitaev model
• Topological quantum phase transitions of anisotropic AFM Kitaev model driven by magnetic field
• Microscopic theory of field-tuned topological transitions in the Kitaev honeycomb model
• Realizing Majorana fermion modes in the Kitaev model